In this paper, we derive error estimates in Lp-norm, 1≦p≦∞, for the ℒ2-Finite Element approximation to solutions of boundary value problems, where the coefficients are functions of bounded variation. The ℒ2-Finite Element Method was introduced in  and was shown to be effective for problems with non-smooth coefficient.
- Subject Classifications: AMS(MOS):65N30, CR:G1.8
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics